6718 = 2 x 3359.
There are 6718 digits in the binary representation of the 26th prime Fibonacci number (A215367).
The sum of the 6718th and 6719th primes is a square (A109311).
The distinct consecutive digits 6718 appear in the decimal expansion of the square root of 2 (A167834).
6718 is the number of 2-anisohedral polyhexes of order 17 (A120117).
Source: On-Line Encyclopedia of Integer Sequences